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Finding the Third Proportional to 23,402.25 and 51,178.50

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Solution

The third proportional to 23,402.25 and 51,178.50 is: 111,922.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,402.25 : 51,178.50 = 51,178.50 : x
  2. Step 2: Convert to fraction form
    23,402.25/51,178.50 = 51,178.50/x
  3. Step 3: Cross multiply
    23,402.25x = 51,178.50 × 51,178.50
  4. Step 4: Simplify right side
    23,402.25x = 2,619,238,862.25
  5. Step 5: Solve for x
    x = 2,619,238,862.25/23,402.25
  6. Step 6: Final answer
    x = 111,922.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.